Availability
\[A=\frac{MTBF}{MTBF+MTTR}\]

Variables

Aavailability
MTBFmean time between failures (h)
MTTRmean time to repair (h)

Description

What is this formula?


The Availability equation measures the proportion of time that a system is operational and capable of performing its intended function.


It combines reliability (MTBF) and maintainability (MTTR) into a single performance indicator and is widely used in communication systems, computer networks, industrial facilities, and data centers.


Higher availability values indicate greater service continuity.


When to use it


Use this formula when evaluating:


- Communication networks

- Servers and data centers

- Industrial control systems

- Telecommunications infrastructure

- Cloud services

- Mission-critical equipment


Example


A network server has:


MTBF = 2,500 h

MTTR = 5 h


Formula:


A = MTBF/(MTBF + MTTR)


Substitution:


A = 2500/(2500 + 5)


A = 2500/2505


A = 0.9980


Result:


A = 99.80%


Applications


- Reliability engineering

- Service level agreements (SLA)

- Telecommunications

- Network design

- Maintenance planning

- Data center management


Note


Availability is a statistical performance metric. Real-world availability may also be affected by scheduled maintenance, software upgrades, power outages, human error, cybersecurity incidents, and environmental factors. Many industries classify availability using "nines" such as 99.9%, 99.99%, or 99.999%.

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